Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	241×	body	80	valid
1.0ms	8×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify311.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

12.0ms

(+ (* 2 (+ x y)) (+ x z))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune50.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.2b	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `associate-*l/` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+`
1×	`+-commutative` `pow2` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 154

Calls

4 calls:

12.0ms	(+ (* 2 (+ x y)) (+ x z))
20.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
20.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
95.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* 2 (+ x y)) (+ x z))
59.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
61.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
54.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify82.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	521	2866
1	2210	2777
2	5001	2756

prune421.0ms

Filtered

166 candidates to 102 candidates (61.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs (cbrt (+ (* 2 (+ x y)) (+ x z)))) (sqrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.2b	(* (* (fabs (cbrt (+ (* 2 (+ x y)) (+ x z)))) (sqrt (cbrt (+ (* 2 (+ x y)) (+ x z))))) (sqrt (+ (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

122×	`associate-*r/`
90×	`sqrt-div`
85×	`flip3-+` `flip-+`
68×	`frac-add`
60×	`cbrt-div`
36×	`frac-times`
18×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod`
6×	`associate-*l/`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 135

Calls

4 calls:

50.0ms	(* (fabs (cbrt (+ (* 2 (+ x y)) (+ x z)))) (sqrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))
97.0ms	(* (* (fabs (cbrt (+ (* 2 (+ x y)) (+ x z)))) (sqrt (cbrt (+ (* 2 (+ x y)) (+ x z))))) (sqrt (+ (* 2 (+ x y)) (+ x z))))
13.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

374.0ms	(* (fabs (cbrt (+ (* 2 (+ x y)) (+ x z)))) (sqrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))
494.0ms	(* (* (fabs (cbrt (+ (* 2 (+ x y)) (+ x z)))) (sqrt (cbrt (+ (* 2 (+ x y)) (+ x z))))) (sqrt (+ (* 2 (+ x y)) (+ x z))))
252.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
244.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	964	4137
1	3610	3994
2	5002	3984

prune800.0ms

Filtered

147 candidates to 128 candidates (87.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2 (+ x y)) (+ x z))
0.0b	(* (+ x z) (+ x z))
15.7b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
35.4b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

266×	`associate-*r/`
206×	`flip3-+` `flip-+`
136×	`frac-sub`
132×	`frac-times`
66×	`associate-*l/` `associate-/l/`
31×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`swap-sqr` `associate--l+` `associate-/r/` `distribute-lft-out`
5×	`difference-of-squares`
4×	`flip3--` `associate-r` `associate-l` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*` `associate--r+`
2×	`sub-neg`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 247

Calls

4 calls:

11.0ms	(- (* 2 (+ x y)) (+ x z))
16.0ms	(* (+ x z) (+ x z))
41.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
107.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* 2 (+ x y)) (+ x z))
14.0ms	(* (+ x z) (+ x z))
97.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
84.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1582	4891
1	5002	4795

prune840.0ms

Filtered

259 candidates to 182 candidates (70.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample387.0ms

Algorithm

intervals

Results

165.0ms	7455×	body	80	valid
18.0ms	182×	body	1280	valid
17.0ms	168×	body	640	valid
10.0ms	114×	body	320	valid
4.0ms	36×	body	2560	valid
3.0ms	63×	body	160	valid